Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Search for theories with rational R-charges and central charges.

Chosen Fixed Point

Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.

#	Theory	Superpotential	Central charge $a$	Central charge $c$	Ratio $a/c$	Matter field: $R$-charge	U(1) part of $F_{UV}$	Rank of $F_{UV}$	Rational
56038	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$	0.6952	0.8518	0.8161	[M:[1.0129, 0.9354, 0.9612, 1.0388, 0.9612, 1.0129, 1.0388], q:[0.5323, 0.4548], qb:[0.5323, 0.5065], phi:[0.4935]]	[M:[[2], [-10], [-6], [6], [-6], [2], [6]], q:[[5], [-7]], qb:[[5], [1]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$	${}M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	-2	t^2.806 + t^2.884 + t^2.961 + 2*t^3.039 + 2*t^3.116 + t^4.209 + t^4.364 + 2*t^4.442 + t^4.519 + 2*t^4.597 + 3*t^4.675 + t^5.612 + t^5.69 + 2*t^5.845 + 3*t^5.922 - 2*t^6. + 2*t^6.078 + 3*t^6.155 + t^6.233 + t^7.015 + t^7.093 + 2*t^7.17 + 2*t^7.248 + 3*t^7.325 + 3*t^7.403 + 3*t^7.481 + 3*t^7.558 + 4*t^7.636 + 4*t^7.713 + 4*t^7.791 + 2*t^8.418 + t^8.496 + t^8.573 + 3*t^8.651 + 2*t^8.729 - t^8.806 + 2*t^8.884 - t^4.481/y - t^7.287/y + t^7.442/y - t^7.519/y + t^7.675/y + t^8.69/y + t^8.767/y + (3*t^8.845)/y + (4*t^8.922)/y - t^4.481*y - t^7.287*y + t^7.442*y - t^7.519*y + t^7.675*y + t^8.69*y + t^8.767*y + 3*t^8.845*y + 4*t^8.922*y	t^2.806/g1^10 + t^2.884/g1^6 + t^2.961/g1^2 + 2*g1^2*t^3.039 + 2*g1^6*t^3.116 + t^4.209/g1^15 + t^4.364/g1^7 + (2*t^4.442)/g1^3 + g1*t^4.519 + 2*g1^5*t^4.597 + 3*g1^9*t^4.675 + t^5.612/g1^20 + t^5.69/g1^16 + (2*t^5.845)/g1^8 + (3*t^5.922)/g1^4 - 2*t^6. + 2*g1^4*t^6.078 + 3*g1^8*t^6.155 + g1^12*t^6.233 + t^7.015/g1^25 + t^7.093/g1^21 + (2*t^7.17)/g1^17 + (2*t^7.248)/g1^13 + (3*t^7.325)/g1^9 + (3*t^7.403)/g1^5 + (3*t^7.481)/g1 + 3*g1^3*t^7.558 + 4*g1^7*t^7.636 + 4*g1^11*t^7.713 + 4*g1^15*t^7.791 + (2*t^8.418)/g1^30 + t^8.496/g1^26 + t^8.573/g1^22 + (3*t^8.651)/g1^18 + (2*t^8.729)/g1^14 - t^8.806/g1^10 + (2*t^8.884)/g1^6 - t^4.481/(g1*y) - t^7.287/(g1^11*y) + t^7.442/(g1^3*y) - (g1*t^7.519)/y + (g1^9*t^7.675)/y + t^8.69/(g1^16*y) + t^8.767/(g1^12*y) + (3*t^8.845)/(g1^8*y) + (4*t^8.922)/(g1^4*y) - (t^4.481*y)/g1 - (t^7.287*y)/g1^11 + (t^7.442*y)/g1^3 - g1*t^7.519*y + g1^9*t^7.675*y + (t^8.69*y)/g1^16 + (t^8.767*y)/g1^12 + (3*t^8.845*y)/g1^8 + (4*t^8.922*y)/g1^4

Deformation

Here is the data for the deformed fixed points from the chosen fixed point.

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from Other Seed Theories

Here is a list of equivalent fixed points from other gauge theories.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Previous Theory

The previous fixed point before deforming to get the chosen fixed point.

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
50810	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$	0.6996	0.86	0.8135	[M:[1.0188, 0.9061, 0.9437, 1.0563, 0.9437, 1.0188], q:[0.5469, 0.4343], qb:[0.5469, 0.5094], phi:[0.4906]]	t^2.718 + 2*t^2.831 + t^2.944 + 2*t^3.056 + t^3.169 + t^4.078 + t^4.303 + 2*t^4.416 + t^4.528 + 2*t^4.641 + 3*t^4.753 + t^5.437 + 2*t^5.549 + 2*t^5.662 + 3*t^5.775 + 4*t^5.887 - 2*t^6. - t^4.472/y - t^4.472*y	detail